{
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  {
   "cell_type": "markdown",
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    "collapsed": true
   },
   "source": [
    "# Cross Validating BartPy Models\n",
    "\n",
    "Using the sklearn interface, we can plug BartPy models into existing sklearn pipelines for feature engineering, scoring and parameter tuning.\n"
   ]
  },
  {
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from bartpy.sklearnmodel import SklearnModel"
   ],
   "cell_type": "code",
   "outputs": [],
   "metadata": {},
   "execution_count": 1
  },
  {
   "source": [
    "# Start by creating some synthetic data to play with\n",
    "\n",
    "x = np.random.normal(0, 0.5, size=1000)\n",
    "X = pd.DataFrame({\"x\": x})\n",
    "y = 2 * x + 4 * np.power(x, 3)\n",
    "plt.scatter(x, y)"
   ],
   "cell_type": "code",
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
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     "metadata": {},
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    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "source": [
    "# Create an instance of the Sklearn class\n",
    "# Set parameters to make the model very small and fast for exposition purposes\n",
    "model = SklearnModel(n_burn=50, n_chains=1, n_jobs=1, n_samples=50, n_trees=10)"
   ],
   "cell_type": "code",
   "outputs": [],
   "metadata": {},
   "execution_count": 3
  },
  {
   "source": [
    "# Quickly train and visually inspect that the results look good\n",
    "model.fit(X, y)\n",
    "plt.scatter(x, model.predict(X))\n",
    "plt.scatter(x, y)"
   ],
   "cell_type": "code",
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": "100%|██████████| 50/50 [00:00<00:00, 253.52it/s]\n  0%|          | 0/50 [00:00<?, ?it/s]Starting burn\nStarting sampling\n100%|██████████| 50/50 [00:00<00:00, 243.16it/s]\n"
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.collections.PathCollection at 0x7fbda0f3c7d0>"
     },
     "metadata": {},
     "execution_count": 5
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "source": [
    "# Score the model using cross validation\n",
    "from sklearn.model_selection import cross_val_score\n",
    "scores = cross_val_score(model, X, y)\n",
    "scores"
   ],
   "cell_type": "code",
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": "/opt/anaconda3/lib/python3.7/site-packages/sklearn/model_selection/_split.py:1978: FutureWarning: The default value of cv will change from 3 to 5 in version 0.22. Specify it explicitly to silence this warning.\n  warnings.warn(CV_WARNING, FutureWarning)\n 46%|████▌     | 23/50 [00:00<00:00, 228.78it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 238.75it/s]\n100%|██████████| 50/50 [00:00<00:00, 265.64it/s]\n  0%|          | 0/50 [00:00<?, ?it/s]Starting sampling\nStarting burn\n100%|██████████| 50/50 [00:00<00:00, 235.44it/s]\n100%|██████████| 50/50 [00:00<00:00, 255.65it/s]\nStarting sampling\n100%|██████████| 50/50 [00:00<00:00, 216.89it/s]\n100%|██████████| 50/50 [00:00<00:00, 250.97it/s]\nStarting burn\nStarting sampling\n"
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "array([0.95914021, 0.9582215 , 0.96570954])"
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "source": [
    "# Search for the best parameters using GridSearch\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "parameters = {'n_trees': (10, 20, 50)}\n",
    "grid_search = GridSearchCV(model, parameters)\n",
    "grid_search.fit(X, y)\n",
    "grid_search.best_params_"
   ],
   "cell_type": "code",
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": "/opt/anaconda3/lib/python3.7/site-packages/sklearn/model_selection/_split.py:1978: FutureWarning: The default value of cv will change from 3 to 5 in version 0.22. Specify it explicitly to silence this warning.\n  warnings.warn(CV_WARNING, FutureWarning)\n 42%|████▏     | 21/50 [00:00<00:00, 206.54it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 215.43it/s]\n100%|██████████| 50/50 [00:00<00:00, 256.24it/s]\nStarting sampling\n 50%|█████     | 25/50 [00:00<00:00, 245.47it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 231.41it/s]\n 46%|████▌     | 23/50 [00:00<00:00, 226.72it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 244.63it/s]\n 44%|████▍     | 22/50 [00:00<00:00, 214.96it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 201.21it/s]\n 42%|████▏     | 21/50 [00:00<00:00, 208.54it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 219.41it/s]\n 24%|██▍       | 12/50 [00:00<00:00, 113.91it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 114.80it/s]\n 28%|██▊       | 14/50 [00:00<00:00, 132.27it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 133.18it/s]\n 26%|██▌       | 13/50 [00:00<00:00, 126.25it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 129.44it/s]\n 26%|██▌       | 13/50 [00:00<00:00, 129.31it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 134.04it/s]\n 24%|██▍       | 12/50 [00:00<00:00, 111.87it/s]Starting burn\n100%|██████████| 50/50 [00:00<00:00, 110.28it/s]\n 24%|██▍       | 12/50 [00:00<00:00, 119.13it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 126.12it/s]\n 10%|█         | 5/50 [00:00<00:01, 43.34it/s]Starting burn\n100%|██████████| 50/50 [00:01<00:00, 49.06it/s]\n 10%|█         | 5/50 [00:00<00:00, 48.25it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 50.51it/s]\n 10%|█         | 5/50 [00:00<00:00, 46.21it/s]Starting burn\n100%|██████████| 50/50 [00:01<00:00, 49.34it/s]\n 10%|█         | 5/50 [00:00<00:00, 45.39it/s]Starting sampling\n100%|██████████| 50/50 [00:00<00:00, 50.31it/s]\n 10%|█         | 5/50 [00:00<00:01, 44.31it/s]Starting burn\n100%|██████████| 50/50 [00:01<00:00, 49.72it/s]\n 10%|█         | 5/50 [00:00<00:00, 45.45it/s]Starting sampling\n100%|██████████| 50/50 [00:01<00:00, 47.88it/s]\n  8%|▊         | 4/50 [00:00<00:01, 38.46it/s]Starting burn\n100%|██████████| 50/50 [00:01<00:00, 47.77it/s]\n 10%|█         | 5/50 [00:00<00:01, 44.59it/s]Starting sampling\n100%|██████████| 50/50 [00:01<00:00, 48.37it/s]\n"
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "{'n_trees': 50}"
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "metadata": {},
   "execution_count": 7
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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